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Strictly localizable measures

Published online by Cambridge University Press:  22 January 2016

P. Jiménez Guerra  and
B. Rodríguez-Salinas
P. Jiménez Guerra
Affiliation:
Dpto. de Teoría de Funciones, Facultad de C. Matemáticas, Universidad Complutense Madrid-3 (SPAIN)
B. Rodríguez-Salinas
Affiliation:
Dpto. de Teoría de Funciones, Facultad de C. Matemáticas, Universidad Complutense Madrid-3 (SPAIN)
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In this paper it is proved that every locally strictly localizable Radon measure of type (ℋ) is strictly localizable, from where it follows immediately the existence of lifting for these measures.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 85 , March 1982 , pp. 81 - 86
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

[ 1 ] Chatterji, S. D., Desintegration of measures and liftings, Proc. of the Symposium on vector and operator valued measures and applications, Acad. Press, New York (1973), 69–83.Google Scholar
[ 2 ] Ionescu Tulcea, A. and , C, Topics in the theory of lifting, Springer, Berlin, 1969.CrossRefGoogle Scholar
[ 3 ] Maharam, D., On a theorem of von Neuman, Proc. Amer. Math. Soc, 9 (1958), 187–994.Google Scholar
[ 4 ] Neumann von, J., Algebraische Reprasentaten der Funktionen bis auf eine Menge von Masse Null, J. Crelle, 165 (1931), 109–115.CrossRefGoogle Scholar
[ 5 ] Rodrí guez-Salinas, B., Teoría de la medida sobre los espacios topológicos no localmente compactos, Rev. Mat. Hispano-Amer., (4), 32 (1973), 257–274.Google Scholar
[ 6 ] Rodríguez-Salinas, B., μ-espacios de Suslin y Lusin. Propiedad del lifting fuerte, Rev. R. Acad. Ci. Madrid, 72 (1978), 541–557.Google Scholar
[ 7 ] Rodríguez-Salinas, B. and Jiménez Guerra, P., Medidas de Radon de tipo (ℋ) en espacios topológicos arbitrarios, Mem. R. Acad. Ci. Madrid, t. X, 1979.Google Scholar
[ 8 ] Rodríguez-Salinas, B. and Jiménez Guerra, P., Espacios de Radon de tipo (ℋ), Rev. R. Acad. Ci. Madrid, 69 (1975), 761774.Google Scholar
[ 9 ] Ryan, R., Representative sets and direct sums, Proc. Amer. Math. Soc, 15 (1964), 387–390.Google Scholar
[10] Schwartz, L., Radon measures on arbitrary topological spaces and cylindrical measures, Oxford University Press, 1973.Google Scholar
[11] Segal, I. E., Equivalences of measure spaces, Amer. J. Math., 73 (1951), 275–313.Google Scholar